Most affine models of the term structure with stochastic volatility predict that the variance of the short rate should play a 'dual role' in that it should also equal a linear combination of yields. However, we find that estimation of a standard affine three-factor model results in a variance...

Building on <link rid="b20">Duffie and Kan (1996)</link>, we propose a new representation of affine models in which the state vector comprises infinitesimal maturity yields and their quadratic covariations. Because these variables possess unambiguous economic interpretations, they generate a representation that is...

We investigate a structural model of market and firm-level dynamics in order to jointly price long-dated S&P 500 options and tranche spreads on the five-year CDX index. We demonstrate the importance of calibrating the model to match the entire term structure of CDX index spreads because it...

Empirical tests of reduced form models of default attribute a large fraction of observed credit spreads to compensation for jump-to-default risk. However, these models preclude a "contagion-risk'' channel, where the aggregate corporate bond index reacts adversely to a credit event. In this...

Prior to the stock market crash of 1987, Black-Scholes implied volatilities of S&P 500 index options were relatively constant across moneyness. Since the crash, however, deep out-of-the-money S&P 500 put options have become 'expensive' relative to the Black-Scholes benchmark. Many researchers...

Empirical evidence shows that changes in aggregate labor income and stock market returns exhibit only weak correlation at short horizons. As we document below, however, this correlation increases substantially at longer horizons, which provides at least suggestive evidence that stock returns and...

Many leading asset pricing models predict that the term structures of expected returns and volatilities on dividend strips are strongly upward sloping. Yet the empirical evidence suggests otherwise. This discrepancy can be reconciled if these models replace their exogenously specified dividend...

We propose a tractable equilibrium model for pricing defaultable bonds that are subject to contagion risk. Contagion arises because agents with 'fragile beliefs' are uncertain about both the underlying state of the economy and the posterior probabilities associated with these states. As such,...

The 1987 stock market crash occurred with minimal impact on observable economic variables (e.g., consumption), yet dramatically and permanently changed the shape of the implied volatility curve for equity index options. Here, we propose a general equilibrium model that captures many salient...

The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for equity index options, despite minimal changes in aggregate consumption. We explain these events within a general equilibrium framework in which expected endowment growth and economic...